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Finding the Fourth Proportional to 298,596.94, 447,892.64 and 121,061.76

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Solution

The fourth proportional to 298,596.94, 447,892.64 and 121,061.76 is: 181,591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,596.94 : 447,892.64 = 121,061.76 : x
  2. Step 2: Convert to fraction form
    298,596.94/447,892.64 = 121,061.76/x
  3. Step 3: Cross multiply
    298,596.94x = 447,892.64 × 121,061.76
  4. Step 4: Simplify right side
    298,596.94x = 54,222,671,289.45
  5. Step 5: Solve for x
    x = 54,222,671,289.45/298,596.94
  6. Step 6: Final answer
    x = 181,591.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.